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348956013834 = 23248174024589
BaseRepresentation
bin1010001001111110110…
…01100011010100001010
31020100201100022012120200
411010333121203110022
521204130214420314
6424150322233030
734132312114551
oct5047731432412
91210640265520
10348956013834
11124a9a63306a
12577687b5776
1326ba250042c
1412c64d54d98
159125584709
hex513f66350a

348956013834 has 24 divisors (see below), whose sum is σ = 756228510180. Its totient is φ = 116294494848.

The previous prime is 348956013793. The next prime is 348956013839. The reversal of 348956013834 is 438310659843.

348956013834 is a `hidden beast` number, since 3 + 48 + 9 + 560 + 1 + 3 + 8 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 304369579809 + 44586434025 = 551697^2 + 211155^2 .

It is a super-3 number, since 3×3489560138343 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (348956013839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1925589 + ... + 2099000.

Almost surely, 2348956013834 is an apocalyptic number.

348956013834 is an abundant number, since it is smaller than the sum of its proper divisors (407272496346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348956013834 is a wasteful number, since it uses less digits than its factorization.

348956013834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029414 (or 4029411 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 348956013834 in words is "three hundred forty-eight billion, nine hundred fifty-six million, thirteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 4817 9634 14451 28902 43353 86706 4024589 8049178 12073767 24147534 36221301 72442602 19386445213 38772890426 58159335639 116318671278 174478006917 348956013834